OPERATIONS MANAGMENT IN...-ACCESS
OPERATIONS MANAGMENT IN...-ACCESS
7th Edition
ISBN: 9781259716225
Author: SCHROEDER
Publisher: MCG
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Chapter 11, Problem 2P

The Ace Steel Mill estimates the demand for steel in millions of tons per year as follows:

Millions of Tons Probability
10 .10
12 .25
14 .30
16 .20
18 .15
  1. a. If capacity is set at 18 million tons, how much of a capacity cushion is there?
  2. b. What is the probability of idle capacity, and what is the average utilization of the plant at 18 million tons of capacity?
  3. c. If it costs $8 million per million tons of lost business and S8o million to build a million tons of capacity, how much capacity should be built to minimize total costs?
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1: Suppose the company has identified the following three possible demand scenarios: Demand (Units per year) Probability 25,000 0.3 60,000 0.4 100,000 0.3 1. If the capacity is set at 80,000, how much of a capacity cushion is here? What is the capacity utilization? 2. What is the probability of idle capacity if the capacity is 80,000? 3. If it costs $25 per units lost business and $50 to build a unit of capacity, how much capacity should be built to minimize total cost?
Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.Draw a…
Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.
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